Research on the Teaching Design of Advanced Mathematics Courses Based on Outcome-Based Education Concept

This paper first analyzes the characteristics and current situation of the Advanced Mathematics course;secondly,it proposes a teaching model that integrates the outcome-based education(OBE)philosophy and blended teaching method,reorganizing the teaching objectives,teaching content,and assessment evaluation process of the Advanced Mathematics course;lastly,through practice,it is proved that this approach can effectively improve students’mastery of course content,enhance students’ability to apply mathematical knowledge,and strengthen teaching effectiveness.

Transnational Mathematics and Movements: Shiingshen Chern, Hua Luogeng, and the Princeton Institute for Advanced Study from World War II to the Cold War

This paper reconstructs,based on American and Chinese primary sources,the visits of Chinese mathematicians Shiing-shen Chern陈省身(Chen Xingshen)and Hua Luogeng华罗庚(Loo-Keng Hua)4 to the Institute for Advanced Study in Princeton in the United States in the 1940s,especially their interactions with Oswald Veblen and Hermann Weyl,two leading mathematicians at the IAS.It argues that Chern’s and Hua’s motivations and choices in regard to their transnational movements between China and the US were more nuanced and multifaceted than what is presented in existing accounts,and that socio-political factors combined with professional-personal ones to shape their decisions.The paper further uses their experiences to demonstrate the importance of transnational scientific interactions for the development of science in China,the US,and elsewhere in the twentieth century.

Research on the Applications of Advanced Mathematics on Mathematical Modeling and the Inner Connections with Linear Algebra and Probability Statistics

In this paper, we conduct research on the applications of advanced mathematics on the mathematical modeling and the inner connections with linear algebra and the probability statistics. Aiming at model in mathematical modeling and solving and model of evaluation and promotion of the two links, put forward the ＂bystander＂ and ＂the authorities＂ this two characters, and points out that excellent mathematical modeling participants should have ＂from a bystander to the authorities＂ and ＂from the authorities to return to bystanders＂ two-way role transformation ability. Great situation in mathematics teaching, by means of the mathematical modeling formed in the development of the teachers, as well as the teaching thought, teaching experience and achievements, the onward march of mathematical experiment should be faster than mathematical modeling. Our research provides the new paradigm for the math development which will be meaningful.

Advanced Mathematics in Vocational Universities

Science and technology are advancing at a breakneck pace.Only individuals with strong mathematical skills and knowledge will be able to adapt to social development and progress.However,advanced mathematics education is often neglected in vocational universities.Student and conceptual factors are invariably to blame.Therefore,it is urgent to improve the teaching quality of advanced mathematics in vocational universities.In improving the teaching quality,it is necessary to change the teaching mode,advocate interest in learning,emphasize on the cultivation of students’skills during teaching,implement stratified teaching,lay emphasis on mathematical models,and strengthen the evaluation and assessment of students.

Microsoft Mathematics软件在高等数学辅助教学中的案例探究

计算机辅助教学是利用计算机作为主要教学载体进行的教学活动。通过对Microsoft Mathematics软件简介、简单计算、图像绘制等方面的应用及其在高等数学中求极限、求导数、求积分等方面具体案例的探究,探究了Microsoft Mathematics在高等数学辅助教学中的应用,以帮助学生更好地学习高等数学课程,激发学生的学习兴趣。

Microsoft Mathematics软件辅助高等数学教学的探讨

文章阐述了计算机辅助教学的重要意义和作用,并以高等数学课程为例分析了如何利用Microsoft Mathematics软件提供的绘图和解题功能辅助教师教学,同时帮助学生更好地学习高等数学课程。

How to Integrate Ideological and Political Education into Mathematics Course of Vocational Education

With the increasing enrollment of general higher vocational colleges every year,the inconsistency between the knowledge level and ability of the enrolled students and ideological and political education hinders the realization of the teaching purpose of the school to a great extent.Advanced mathematics is a compulsory basic course for college students and an important subject for realizing the teaching purpose.In order to achieve the teaching purpose and improve the teaching quality and level of mathematics in higher vocational colleges,we must deepen the reform of teaching contents in advanced mathematics courses in colleges,and integrate mathematical knowledge with ideological and political education organically,giving full play to the teaching characteristics of advanced mathematics courses while fulfilling the ideological and political education for students.Moreover,ideological and political education is also combined with interactive advantages by means of interactive teaching.This paper briefly discusses how to integrate advanced mathematics course with ideological and political education.By analyzing the actual teaching cases of ideological and political education and advanced mathematics courses,the content of classroom teaching is discussed.

“双减”背景下作业减负增效的实证研究

有效减负需明确和平衡减负与增效的双重要求。作业减负增效的关键是科学控制作业量,减去额外负担,并通过提升作业有效性达到增效的目标。本研究基于2440名初二年级学生数学作业的实证数据,使用广义倾向值分析,探索中学生作业的减负增效途径。研究发现,数学作业时间与数学成绩呈倒U型关系,达到最佳成绩的每日数学作业时间为45分钟。随着学习机会的增加和数学兴趣的提升,学生达到最佳成绩的作业时间阈值呈现提前的趋势。对于学校教学而言,建议统筹管理作业,科学设计作业结构,减少作业总量;同时,建议提升课堂教育教学质量,增加学生获取知识的学习机会,提升数学学习兴趣,从而有效实现减负增效。

地方大学数学类一流课程建设与实践--以临沂大学数学分析课程为例

课程是人才培养的核心要素,课程质量直接决定人才培养质量。数学类课程是大学理工科人才培养的重要支撑,对学生后续学习和发展后劲影响重大,受益面广。该文以临沂大学数学类专业学科基础课程数学分析为例,构建“厚学科基础,强化师资队伍、强化课程思政,优化教学设计、优化教学方法、优化教学考核”的地方大学数学类一流课程建设实践,将师资队伍建设、一流课程建设和教学改革研究紧密结合,在教学质量工程和人才培养等方面取得很好的成效。数学分析课程被教育部认定为首批国家一流课程,建设经验可为数学类专业后继课程和理工科专业高等数学类课程提供重要参考。

课程思政背景下定积分的应用教学设计

以高等数学中定积分求平面图形的面积为例,提出课程思政背景下的一种教学设计架构.讲述中国冬奥故事,传递中国声音,激发学生民族自豪感,将家国情怀厚植于学生心中.在知识传授的过程中,以问题意识引领学生,启发学生主动发现问题、提出问题、分析问题、解决问题,从而培养学生主动思考、积极探索的科学精神.注重知识的应用,在实践中实现课程思政,达到润物无声的育人效果.

一流本科课程下高等数学课程建设

“双万计划”是教育部为推动我国高等教育的发展而计划资助发展建设万门国家级一流本科课程和万门省级一流本科课程。为实现黑龙江大学一流本科课程下的高等数学课程建设,黑龙江大学高等数学课程的建设,要顺应时代需求,在高等数学课程的教学理念、教学体系、教学模式、教学内容、教学方法、考核方法和团队建设等多方面进行改革。

高等数学教学中实施课程思政的探索

在高等数学教学中融入课程思政,需要教师加强学习,始终坚持正确的政治导向,提升自身人文素养和育人能力。在教学实践中,教师应确定高等数学课程思政教学目标,寻找合适的思政教学切入点,做好教学设计。

定积分微元法的教学探析与思考

本着教育数学的思路,结合分析和比较三种微元法观点探析定积分微元法的主要思想,总结出定积分微元法的使用特点及判定方法,并运用微元分析法解决曲边扇形面积和变力对质点的冲量两个问题,该方法类似可推广到其他几何、物理及经济问题.

高等数学新形态数字化教学资源设计与建设

在教育信息化2.0时代,“互联网+教育”带动着教育的转型升级,数字一体化交互式教学资源建设已经成为必然。高等数学课程作为理工科学生的基础课,信息化教学资源的建设直接影响着课程建设的质量。该文从教学理念、教学体系、教学评价及课程思政等方面,着力建设高等数学数字化新形态教学资源,为学生搭建数字化学习平台,推动高等数学课程高质量的建设发展。

教育数字化背景下高等数学教学改革探索与实践

高等数学是理工经管类专业后续课程的基础,其思想方法对培养学生的抽象思维能力、逻辑推理能力、分析问题、解决问题的能力以及激发学生的创新能力等方面起着其他课程教学无法替代的作用。为打破传统以教师为中心的教学模式,文章引入数字化技术,以专业导向为着力点,从更新教学理念、丰富与时俱进的教学内容、创新教学方法和设计多元化的考评体系四个方面,探讨高等数学课程的教学改革,结合雨课堂平台开展线上线下融合式教学,在实践教学中取得了显著成效。

工科类院校高等数学教学改革探索——基于工程案例与数学文化视角

工科类院校高等数学教学存在专业衔接有空缺、教材内容不完善、学生基础不均衡、课堂效果不理想等问题,结合学校特点,融合工程案例、数学文化、数学建模等教学内容,体现高等数学的应用、文化、思维、思想价值,推行应用性考核模式,可以提升专业服务水平。

深度学习视角下应用型大学课堂教学策略——以高等数学为例

基于应用型大学人才培养目标,以高等数学课程为例,分析应用型大学课堂教学现状。研究深度学习的意涵和特征,及其对应用型大学课堂教学改革的实际意义。提出在高等数学教学实践中实现深度学习的5个策略,优化传统课堂教学模式,为应用型大学高素质人才培养助力。

“双减”政策下小学数学课后作业设计研究

“双减”政策的颁布落实对各学科课后作业设计提出更高要求。为了最大程度发挥作业的功能,小学各科科任教师需聚焦作业设计,提升作业质量和效果。当前小学数学课后作业设计存在一些问题,因此“双减”政策下课后作业设计应坚持目的性原则、生活性原则与实践性原则。“双减”政策下课后作业设计应遵循明确作业设计目标、丰富作业设计类型及完善作业评价三条路径。